Brynjulf Owren
About
Brynjulf Owren has been a professor at the Department of Mathematical Sciences since January 1994. He belongs to the research group Differential Equations and Numerical Analysis.
Main area of research
Numerical analysis of ordinary and partial dfferential equations, initial value problems, integration methods for dfferential equations on manifolds (geometric integration). Mathematical modelling.
Academic degrees
- Doktoringeniør (PhD) in Numerical Analysis at the Norwegian Institute of Technology (NTH) (1990) Continuous Explicit Runge-Kutta Methods with Applications to Ordinary and Delay Differential Equations, advisor: Professor S.P. Nørsett.
- Sivilingeniør (Master of Science) in Physics and Mathematics at NTH, 1984. Main subject: Numerical mathematics. MSc thesis: Acoustic response in oil wells (in Norwegian).
Work experience
- 1994- current: Professor at the Department of Mathematical Sciences, NTNU
- 2012-2017: Vice Dean of Education at the Faculty of Information Technology and Electrical Engineering, NTNU.
- 1992-1993 Førsteamanuensis (Assistant professor) at the Department of Mathematics and Statistics, University of Trondheim
- 1990-1992 Postdoctoral fellow at Department of Computer Science, University of Toronto.
- 1990 Lecturer at the Norwegian Institute of Technology.
- 1987-1989 Ph.D. fellowship from NTH.
- 1986 Research assistant (vitenskapelig assistent) at Department of Mathematical Sciences, NTH.
- 1988-90 Research scientist (forsker), part time, at SINTEF Industrial Mathematics, Trondheim, Norway.
- 1985-1988 Research Geophysicist at SERES A/S, Trondheim, Norway.
- Supervised 10 PhD students (current and former) and 31 M.Sc. students.
Memberships, leadership experience (selection)
- President of the Norwegian Mathematical Council from 2015
- Member of Board of Directors of SEFI (European Society for Engineering Education) 2012-2015
- President of the Norwegian Mathematical Society 2007{2011 (board member since 2004)Council member of ECMI 2007{2011 (European Consortium for Mathematics in Industry).
- Leader of special year in Geometric Integration, Center for Advanced Study, Oslo, 2002-2003 (coorganised with Prof Munthe-Kaas, University of Bergen)
- Leader of 2004–2007, and of study programme in Physics and Math, NTNU, 2008–2012Board member of UNIK, 2015- (University Graduate Center at Kjeller)
- Board member of the Norwegian Mathematical Council
Some later research projects
- GALA. EU Sixth Framework Programme, STREP project 2006–2009. Leader for Trondheim node.
- 3D CSEM. Inversion and Modeling 2012–2015. Joint project between NTNU and the company EMGS.
- SPIRIT. Structure Preserving Integrators, discRete Integrable systems and algebraic combinaTorics. The Research Council of Norway, 2013–2017, Project leader.
See my CV for more detailed information.
Publications
2026
-
Jasa, Hajg;
Bergmann, Ronny;
Owren, Brynjulf Rustad.
(2026)
Algorithms for Nonsmooth Optimization on Riemannian Manifolds, and Applications.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
2025
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Leyendecker, Sigrid;
Murari, Davide;
Owren, Brynjulf Rustad;
Almagro, Rodrigo T Sato Martín de;
Stavole, Martina.
(2025)
Neural networks for the approximation of Euler’s elastica.
Computer Methods in Applied Mechanics and Engineering
Academic article
-
Celledoni, Elena;
Jackaman, James;
Murari, Davide;
Owren, Brynjulf Rustad.
(2025)
Predictions based on pixel data: Insights from PDEs and finite differences.
Journal of Computational Physics
Academic article
2024
-
Arnold, Martin;
Celledoni, Elena;
Cokaj, Ergys;
Owren, Brynjulf Rustad;
Tumiotto, Denise.
(2024)
B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS.
Journal of Computational Dynamics
Academic article
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II.
Journal of Computational Dynamics
Professional article
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I.
Journal of Computational Dynamics
Professional article
-
Sherry, Ferdia;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Murari, Davide;
Owren, Brynjulf Rustad;
Schönlieb, Carola-Bibiane.
(2024)
Designing stable neural networks using convex analysis and ODEs.
Physica D : Non-linear phenomena
Academic article
2023
-
Bogfjellmo, Geir;
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf Rustad;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
Academic article
-
Celledoni, Elena;
Murari, Davide;
Owren, Brynjulf Rustad;
Schonlieb, Carola-Bibiane;
Sherry, Ferdia.
(2023)
DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS.
SIAM Journal on Scientific Computing
Academic article
2022
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics
Academic article
-
Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics
Academic article
-
Celledoni, Elena;
Cokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf Rustad.
(2022)
Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators.
Mathematics in Industry
Academic article
-
Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics
Academic article
-
Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, Carola-Bibiane.
(2022)
Structure preserving neural networks based on ODEs.
NeurIPS 2022 Workshop DLDE homepage
Research report
2021
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
Academic article
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics
Academic article
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Structure preserving deep learning.
European journal of applied mathematics
Academic article
-
Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers.
Physics of Fluids
Academic article
2020
-
Curry, Charles Henry Alexander;
Ebrahimi-Fard, Kurusch;
Owren, Brynjulf.
(2020)
The Magnus expansion and post-Lie algebras.
Mathematics of Computation
Academic article
2019
-
Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Kamp, Peter H. van der;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org
Academic article
-
Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
Academic chapter
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
Kamp, Peter H. van der.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energy-preserving methods on Riemannian manifolds.
Mathematics of Computation
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
Kamp, Peter H. van der.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2019)
Variable step size commutator free Lie group integrators.
Numerical Algorithms
Academic article
-
Zanna, Antonella;
Owren, Brynjulf.
(2019)
Holmboeprisen 2018.
Tangenten - Tidsskrift for matematikkundervisning
Popular science article
-
Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics
Academic article
-
Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org
Academic article
2018
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org
Academic article
-
Curry, Charles Henry Alexander;
Ebrahimi-Fard, Kurusch;
Owren, Brynjulf.
(2018)
The Magnus expansion and Post-Lie algebras.
arXiv.org
Academic article
-
Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Haugen, Kjetil K.;
Owren, Brynjulf.
(2018)
Predicting football tables by a maximally parsimonious model.
Mathematics for applications
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing
Academic article
-
Owren, Brynjulf.
(2018)
Holmboeprisen 2017.
Tangenten - Tidsskrift for matematikkundervisning
Popular science article
2017
-
Owren, Brynjulf.
(2017)
Holmboeprisvinneren 2016.
Tangenten - Tidsskrift for matematikkundervisning
Popular science article
-
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2017)
Adaptive energy preserving methods for partial differential equations.
Advances in Computational Mathematics
Academic article
2016
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2016)
Geometric integration of non-autonomous linear
Hamiltonian problems.
Advances in Computational Mathematics
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University
Academic article
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2016)
A Computationally Inexpensive Coordinate Map for Lie Group Integrators.
MI Lecture Note, Kyushu University
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable
MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University
Academic article
2015
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
Academic article
-
Amaya, Manuel;
Owren, Brynjulf.
(2015)
High-order optimization methods for large-scale 3D CSEM data inversion.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2015)
Adaptive Energy Preserving Methods for Partial Differential Equations.
arXiv.org
Research report
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Research report
2014
-
Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
Academic article
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
Geometric integration of non-autonomous Hamiltonian problems.
arxiv
Research report
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
On symplectic integration in Lie groups and manifolds.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators - basics, new developments and applications.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation
Academic article
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical
Academic article
2013
-
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical
Academic article
2012
-
Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, G.R.W.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics
Academic article
2011
-
Dahlby, Morten;
Owren, Brynjulf.
(2011)
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs.
SIAM Journal on Scientific Computing
Academic article
-
Christiansen, Snorre H;
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2011)
Topics in structure-preserving discretization.
Acta Numerica
Academic literature review
-
Owren, Brynjulf.
(2011)
Werner Romberg: "Vereinfachte numerische Integration''.
Skrifter
Popular science article
-
Dahlby, Morten;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2011)
Preserving multiple first integrals by discrete gradients.
Journal of Physics A: Mathematical and Theoretical
Academic article
2010
-
Dahlby, Morten Lien;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2010)
Preserving multiple first integrals by discrete gradients.
NTNU, Department of Mathematical Sciences
Research report
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2010)
A general framework for deriving integral preserving numerical methods for PDEs.
NTNU, Department of Mathematical Sciences
Research report
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate B-series and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
Energy-Preserving Integrators and the Structure of B-series.
Foundations of Computational Mathematics
Academic article
2009
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energy-preserving integrators and the structure of B-series.
IMF, NTNU
Research report
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of B-series for some classes of Geometric Integrators.
AIP Conference Proceedings
Academic article
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2009)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Modélisation mathématique et analyse numérique
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energy-preserving Runge-Kutta methods.
Modélisation mathématique et analyse numérique
Academic article
-
Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
Institutt for matematiske fag, NTNU
Research report
2008
-
Cohen, David;
Owren, B;
Raynaud, X.
(2008)
Symplectic integration of the Carnassa-Holm equation.
Journal of Computational Physics
Academic article
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2008)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Institutt for matematiske fag
Research report
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2008)
Mathematics and Computation, a Contemporary View: The Abel Symposium 2006.
Springer
Anthology
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving Runge-Kutta methods.
NTNU Institutt for matematiske fag
Research report
-
Cohen, David;
Owren, Brynjulf;
Raynaud, Xavier.
(2008)
Multi-symplectic integration of the Camassa–Holm equation.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving methods and B-series.
Academic chapter
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article
2006
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Research report
-
Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2006)
Solving the nonlinear Schrodinger equation using exponential integrators.
MIC Journal: Modeling, Identification and Control
Academic article
-
Owren, Brynjulf.
(2006)
Order conditions for commutator-free Lie group methods.
Journal of Physics A: Mathematical and General
Academic article
2005
-
Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2005)
B-series and order conditions for exponential integrators.
SIAM Journal on Numerical Analysis
Academic article
2004
-
Kværnø, Anne;
Kozlov, Roman;
Owren, Brynjulf.
(2004)
The behaviour of the local error in splitting methods applied to stiff problems.
Journal of Computational Physics
Academic article
2003
-
Casas, F;
Owren, Brynjulf.
(2003)
Cost efficient Lie group integrators in the RKMK class.
Applied Numerical Mathematics
Academic article
-
Berland, Håvard;
Owren, Brynjulf.
(2003)
Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators.
Institutt for matematiske fag, Norges teknisk-naturvitenskapelige univ
Research report
-
Owren, Brynjulf;
Kværnø, Anne;
Kozlov, Roman.
(2003)
The behaviour of the local error in splitting methods applied to stiff problems.
Institutt for matematiske fag, NTNU
Research report
-
Casas, Fernando;
Owren, Brynjulf.
(2003)
Cost Efficient Lie Group Integrators in the RKMK Class.
BIT Numerical Mathematics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
Academic article
-
Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutator-free Lie group methods.
Future Generation Computer Systems
Academic article
2002
-
Casas, Fernando;
Owren, Brynjulf.
(2002)
Cost efficient Lie group integrators in the RKMK class.
[Mangler utgivernavn]
Research report
-
Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article
2001
-
Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Institutt for matematiske fag, NTNU.
Research report
-
Owren, Brynjulf.
(2001)
Quadrature methods based on the Cayley transform.
Applied Numerical Mathematics
Academic article
-
Marthinsen, Arne;
Owren, Brynjulf.
(2001)
A note on the construction of Crouch-Grossman methods.
BIT Numerical Mathematics
Academic article
-
Owren, Brynjulf;
Marthinsen, Arne.
(2001)
Integration methods based on canonical coordinates of the second kind.
Numerische Mathematik
Academic article
2000
-
Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(2000)
Construction of Runge-Kutta methods of Crouch-Grossman type of high order.
Advances in Computational Mathematics
Academic article
-
Owren, Brynjulf;
Welfert, Bruno.
(2000)
The Newton Iteration on Lie Groups.
BIT Numerical Mathematics
Academic article
1999
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(1999)
Computations in a Free Lie Algebra.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
-
Owren, Brynjulf;
Marthinsen, Arne.
(1999)
Runge-Kutta methods adapted to manifolds and based on rigid frames.
BIT Numerical Mathematics
Academic article
-
Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Quadrature Methods Based on the Cayley Transform.
Institutt for matematiske fag, NTNU.
Research report
-
Kozlov, Roman;
Owren, Brynjulf.
(1999)
Order reduction in operator splitting methods.
Institutt for matematiske fag, NTNU
Research report
-
Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order.
Institutt for matematiske fag, NTNU
Research report
1998
-
Jackiewicz, Zdzislaw;
Owren, Brynjulf;
Welfert, Bruno D..
(1998)
Pseudospectra of waveform relaxation operators.
Computers and Mathematics with Applications
Academic article
-
Ekeland, Kersti;
Owren, Brynjulf;
Øines, Eivor.
(1998)
Stiffness detection and estimation of dominant spectra with explicit Runge-Kutta methods.
ACM Transactions on Mathematical Software
Academic article
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(1998)
Computations in a free Lie algebra.
Institutt for informatikk
Research report
1997
-
Marthinsen, Arne;
Marthinsen, Arne;
Munthe-Kaas, Hans;
Munthe-Kaas, Hans;
Owren, Brynjulf.
(1997)
Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications.
MIC Journal: Modeling, Identification and Control
Academic article
1996
-
Nørsett, Syvert Paul;
Kværnø, Anne;
Owren, Brynjulf.
(1996)
Runge-Kutta research in Trondheim.
Applied Numerical Mathematics
Academic article
1994
-
Enright, Wayne H.;
Higham, Desmond J.;
Owren, Brynjulf;
Sharp, Philip W..
(1994)
A Survey of the Explicit Runge-Kutta Method.
Department of Computer Science, University of Toronto
Research report
1993
-
Landrø, Martin;
Zaalberg-Metselaar, Gitta;
Owren, Brynjulf;
Vaage, Svein.
(1993)
Modeling of water-gun signatures.
Geophysics
Academic article
-
Muir, Paul;
Owren, Brynjulf.
(1993)
Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes.
Mathematics of Computation
Academic article
1992
-
Owren, Brynjulf;
Zennaro, Marino.
(1992)
Derivation of efficient, continuous explicit Runge-Kutta methods.
SIAM Journal of Scientific and Statistical Computing
Academic article
1991
-
Owren, Brynjulf;
Zennaro, Marino.
(1991)
Order barriers for continuous explicit Runge-Kutta methods.
Mathematics of Computation
Academic article
-
Owren, Brynjulf;
Seip, Kristian.
(1991)
A uniqueness result related to the stability of explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
1990
-
Owren, Brynjulf;
Seip, Kristian.
(1990)
Some stability results for explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
Journal publications
-
Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics
Academic article
-
Kamp, Peter H. van der;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org
Academic article
-
Curry, Charles Henry Alexander;
Ebrahimi-Fard, Kurusch;
Owren, Brynjulf.
(2018)
The Magnus expansion and Post-Lie algebras.
arXiv.org
Academic article
-
Marthinsen, Arne;
Marthinsen, Arne;
Munthe-Kaas, Hans;
Munthe-Kaas, Hans;
Owren, Brynjulf.
(1997)
Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications.
MIC Journal: Modeling, Identification and Control
Academic article
-
Cohen, David;
Owren, B;
Raynaud, X.
(2008)
Symplectic integration of the Carnassa-Holm equation.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
Academic article
-
Owren, Brynjulf.
(2017)
Holmboeprisvinneren 2016.
Tangenten - Tidsskrift for matematikkundervisning
Popular science article
-
Casas, F;
Owren, Brynjulf.
(2003)
Cost efficient Lie group integrators in the RKMK class.
Applied Numerical Mathematics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
Academic article
-
Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org
Academic article
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(1999)
Computations in a Free Lie Algebra.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
Kamp, Peter H. van der.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article
-
Haugen, Kjetil K.;
Owren, Brynjulf.
(2018)
Predicting football tables by a maximally parsimonious model.
Mathematics for applications
Academic article
-
Dahlby, Morten;
Owren, Brynjulf.
(2011)
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs.
SIAM Journal on Scientific Computing
Academic article
-
Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms
Academic article
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2016)
Geometric integration of non-autonomous linear
Hamiltonian problems.
Advances in Computational Mathematics
Academic article
-
Bogfjellmo, Geir;
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf Rustad;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
Academic article
-
Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, G.R.W.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics
Academic article
-
Cohen, David;
Owren, Brynjulf;
Raynaud, Xavier.
(2008)
Multi-symplectic integration of the Camassa–Holm equation.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energy-preserving methods on Riemannian manifolds.
Mathematics of Computation
Academic article
-
Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing
Academic article
-
Kværnø, Anne;
Kozlov, Roman;
Owren, Brynjulf.
(2004)
The behaviour of the local error in splitting methods applied to stiff problems.
Journal of Computational Physics
Academic article
-
Arnold, Martin;
Celledoni, Elena;
Cokaj, Ergys;
Owren, Brynjulf Rustad;
Tumiotto, Denise.
(2024)
B-STABILITY OF NUMERICAL INTEGRATORS ON RIEMANNIAN MANIFOLDS.
Journal of Computational Dynamics
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of B-series for some classes of Geometric Integrators.
AIP Conference Proceedings
Academic article
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Leyendecker, Sigrid;
Murari, Davide;
Owren, Brynjulf Rustad;
Almagro, Rodrigo T Sato Martín de;
Stavole, Martina.
(2025)
Neural networks for the approximation of Euler’s elastica.
Computer Methods in Applied Mechanics and Engineering
Academic article
-
Celledoni, Elena;
Cokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf Rustad.
(2022)
Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators.
Mathematics in Industry
Academic article
-
Nørsett, Syvert Paul;
Kværnø, Anne;
Owren, Brynjulf.
(1996)
Runge-Kutta research in Trondheim.
Applied Numerical Mathematics
Academic article
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2009)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Modélisation mathématique et analyse numérique
Academic article
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
Academic article
-
Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics
Academic article
-
Owren, Brynjulf;
Zennaro, Marino.
(1991)
Order barriers for continuous explicit Runge-Kutta methods.
Mathematics of Computation
Academic article
-
Landrø, Martin;
Zaalberg-Metselaar, Gitta;
Owren, Brynjulf;
Vaage, Svein.
(1993)
Modeling of water-gun signatures.
Geophysics
Academic article
-
Muir, Paul;
Owren, Brynjulf.
(1993)
Order Barriers and characterizations for continuous mono-implicit Runge-Kutta schemes.
Mathematics of Computation
Academic article
-
Owren, Brynjulf;
Zennaro, Marino.
(1992)
Derivation of efficient, continuous explicit Runge-Kutta methods.
SIAM Journal of Scientific and Statistical Computing
Academic article
-
Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane;
Sherry, Ferdia.
(2021)
Structure preserving deep learning.
European journal of applied mathematics
Academic article
-
Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers.
Physics of Fluids
Academic article
-
Curry, Charles Henry Alexander;
Ebrahimi-Fard, Kurusch;
Owren, Brynjulf.
(2020)
The Magnus expansion and post-Lie algebras.
Mathematics of Computation
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article
-
Owren, Brynjulf;
Seip, Kristian.
(1991)
A uniqueness result related to the stability of explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
-
Owren, Brynjulf;
Seip, Kristian.
(1990)
Some stability results for explicit Runge-Kutta methods.
BIT Numerical Mathematics
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University
Academic article
-
Owren, Brynjulf;
Marthinsen, Arne.
(1999)
Runge-Kutta methods adapted to manifolds and based on rigid frames.
BIT Numerical Mathematics
Academic article
-
Jackiewicz, Zdzislaw;
Owren, Brynjulf;
Welfert, Bruno D..
(1998)
Pseudospectra of waveform relaxation operators.
Computers and Mathematics with Applications
Academic article
-
Ekeland, Kersti;
Owren, Brynjulf;
Øines, Eivor.
(1998)
Stiffness detection and estimation of dominant spectra with explicit Runge-Kutta methods.
ACM Transactions on Mathematical Software
Academic article
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II.
Journal of Computational Dynamics
Professional article
-
Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin;
Kamp, Peter H. van der.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Celledoni, Elena;
Munthe-Kaas, Hans Zanna;
Owren, Brynjulf Rustad;
Munthe-Kaas, Antonella Zanna.
(2024)
PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I.
Journal of Computational Dynamics
Professional article
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2016)
A Computationally Inexpensive Coordinate Map for Lie Group Integrators.
MI Lecture Note, Kyushu University
Academic article
-
Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2019)
Variable step size commutator free Lie group integrators.
Numerical Algorithms
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable
MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University
Academic article
-
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2017)
Adaptive energy preserving methods for partial differential equations.
Advances in Computational Mathematics
Academic article
-
Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators - basics, new developments and applications.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation
Academic article
-
Celledoni, Elena;
Murari, Davide;
Owren, Brynjulf Rustad;
Schonlieb, Carola-Bibiane;
Sherry, Ferdia.
(2023)
DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS.
SIAM Journal on Scientific Computing
Academic article
-
Casas, Fernando;
Owren, Brynjulf.
(2003)
Cost Efficient Lie Group Integrators in the RKMK Class.
BIT Numerical Mathematics
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering
Academic article
-
Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(2000)
Construction of Runge-Kutta methods of Crouch-Grossman type of high order.
Advances in Computational Mathematics
Academic article
-
Christiansen, Snorre H;
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2011)
Topics in structure-preserving discretization.
Acta Numerica
Academic literature review
-
Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2006)
Solving the nonlinear Schrodinger equation using exponential integrators.
MIC Journal: Modeling, Identification and Control
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energy-preserving Runge-Kutta methods.
Modélisation mathématique et analyse numérique
Academic article
-
Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
Academic article
-
Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutator-free Lie group methods.
Future Generation Computer Systems
Academic article
-
Zanna, Antonella;
Owren, Brynjulf.
(2019)
Holmboeprisen 2018.
Tangenten - Tidsskrift for matematikkundervisning
Popular science article
-
Owren, Brynjulf.
(2001)
Quadrature methods based on the Cayley transform.
Applied Numerical Mathematics
Academic article
-
Celledoni, Elena;
Jackaman, James;
Murari, Davide;
Owren, Brynjulf Rustad.
(2025)
Predictions based on pixel data: Insights from PDEs and finite differences.
Journal of Computational Physics
Academic article
-
Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2005)
B-series and order conditions for exponential integrators.
SIAM Journal on Numerical Analysis
Academic article
-
Sherry, Ferdia;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Murari, Davide;
Owren, Brynjulf Rustad;
Schönlieb, Carola-Bibiane.
(2024)
Designing stable neural networks using convex analysis and ODEs.
Physica D : Non-linear phenomena
Academic article
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article
-
Marthinsen, Arne;
Owren, Brynjulf.
(2001)
A note on the construction of Crouch-Grossman methods.
BIT Numerical Mathematics
Academic article
-
Owren, Brynjulf.
(2018)
Holmboeprisen 2017.
Tangenten - Tidsskrift for matematikkundervisning
Popular science article
-
Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, Carola-Bibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics
Academic article
-
Owren, Brynjulf;
Marthinsen, Arne.
(2001)
Integration methods based on canonical coordinates of the second kind.
Numerische Mathematik
Academic article
-
Owren, Brynjulf;
Welfert, Bruno.
(2000)
The Newton Iteration on Lie Groups.
BIT Numerical Mathematics
Academic article
-
Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics
Academic article
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate B-series and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article
-
Owren, Brynjulf.
(2011)
Werner Romberg: "Vereinfachte numerische Integration''.
Skrifter
Popular science article
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
Energy-Preserving Integrators and the Structure of B-series.
Foundations of Computational Mathematics
Academic article
-
Dahlby, Morten;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2011)
Preserving multiple first integrals by discrete gradients.
Journal of Physics A: Mathematical and Theoretical
Academic article
-
Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org
Academic article
-
Owren, Brynjulf.
(2006)
Order conditions for commutator-free Lie group methods.
Journal of Physics A: Mathematical and General
Academic article
Books
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(2008)
Mathematics and Computation, a Contemporary View: The Abel Symposium 2006.
Springer
Anthology
Part of book/report
-
Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
Academic chapter
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving methods and B-series.
Academic chapter
Report
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2008)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Institutt for matematiske fag
Research report
-
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
Geometric integration of non-autonomous Hamiltonian problems.
arxiv
Research report
-
Casas, Fernando;
Owren, Brynjulf.
(2002)
Cost efficient Lie group integrators in the RKMK class.
[Mangler utgivernavn]
Research report
-
Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energy-preserving Runge-Kutta methods.
NTNU Institutt for matematiske fag
Research report
-
Berland, Håvard;
Owren, Brynjulf.
(2003)
Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators.
Institutt for matematiske fag, Norges teknisk-naturvitenskapelige univ
Research report
-
Owren, Brynjulf;
Kværnø, Anne;
Kozlov, Roman.
(2003)
The behaviour of the local error in splitting methods applied to stiff problems.
Institutt for matematiske fag, NTNU
Research report
-
Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energy-preserving integrators and the structure of B-series.
IMF, NTNU
Research report
-
Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Research report
-
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2015)
Adaptive Energy Preserving Methods for Partial Differential Equations.
arXiv.org
Research report
-
Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Research report
-
Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Institutt for matematiske fag, NTNU.
Research report
-
Enright, Wayne H.;
Higham, Desmond J.;
Owren, Brynjulf;
Sharp, Philip W..
(1994)
A Survey of the Explicit Runge-Kutta Method.
Department of Computer Science, University of Toronto
Research report
-
Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Quadrature Methods Based on the Cayley Transform.
Institutt for matematiske fag, NTNU.
Research report
-
Kozlov, Roman;
Owren, Brynjulf.
(1999)
Order reduction in operator splitting methods.
Institutt for matematiske fag, NTNU
Research report
-
Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order.
Institutt for matematiske fag, NTNU
Research report
-
Dahlby, Morten Lien;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2010)
Preserving multiple first integrals by discrete gradients.
NTNU, Department of Mathematical Sciences
Research report
-
Dahlby, Morten Lien;
Owren, Brynjulf.
(2010)
A general framework for deriving integral preserving numerical methods for PDEs.
NTNU, Department of Mathematical Sciences
Research report
-
Munthe-Kaas, Hans;
Owren, Brynjulf.
(1998)
Computations in a free Lie algebra.
Institutt for informatikk
Research report
-
Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
Institutt for matematiske fag, NTNU
Research report
-
Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, Carola-Bibiane.
(2022)
Structure preserving neural networks based on ODEs.
NeurIPS 2022 Workshop DLDE homepage
Research report
Student thesis or dissertation
-
Jasa, Hajg;
Bergmann, Ronny;
Owren, Brynjulf Rustad.
(2026)
Algorithms for Nonsmooth Optimization on Riemannian Manifolds, and Applications.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
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Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
On symplectic integration in Lie groups and manifolds.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
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Amaya, Manuel;
Owren, Brynjulf.
(2015)
High-order optimization methods for large-scale 3D CSEM data inversion.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
Teaching
Courses
- TMA4125 - Mathematics 4N - Differential equations and Fourier analysis
- TMA4413 - Mathematics 2D: Linear algebra and differential equations
- MA8404 - Numerical Integration of Time Dependent Differential Equations
- INGT1002 - Programming, numerical mathematics and security
- TMA4320 - Introduction to Scientific Computation
Outreach
2022
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Feature articleHaugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Kringstad, Morten; Gammelsæter, Hallgeir; Vik, Erlend; Heen, Knut Peder; Loktu, Morten; Halse, Lise Lillebrygfjeld; Strandhagen, Jan Ola. (2022) Fra toppen av Haugen : historien gjentar seg for tabelltipping-kongen.
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Feature articleHaugen, Kjetil K.; Solberg, Harry Arne; Sætre, Irene Lange; Loktu, Morten; Guvåg, Bjørn; Owren, Brynjulf; Kringstad, Morten; Halse, Lise Lillebrygfjeld; Hansson, Lisa; Vik, Erlend. (2022) Fra toppen av Haugen : årets vinner er fra NTNU.
2020
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Feature articleHaugen, Kjetil K.; Strandhagen, Jan Ola; Solberg, Harry Arne; Kringstad, Morten; Owren, Brynjulf; Hansson, Lisa; Halse, Lise Lillebrygfjeld; Sætre, Irene Lange; Heen, Knut Peder; Gammelsæter, Hallgeir. (2020) Fra toppen av Haugen : svensk norgesmester i verdensklasse.
2019
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Feature articleHaugen, Kjetil K.; Owren, Brynjulf; Strandhagen, Jan Ola; Kringstad, Morten; Solberg, Harry Arne; Guvåg, Bjørn; Hauge, Olav; Gammelsæter, Hallgeir; Heen, Knut Peder; Hvattum, Lars Magnus. (2019) Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde.
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Conference lectureOhm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. 10th National Conference on Computational Mechanics
2018
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Conference lectureOwren, Brynjulf. (2018) Numerical methods that conserve or dissipate energy on Riemannian manifolds. Modern Numerical Methods for Quantum Mechanics II
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Conference lectureOwren, Brynjulf. (2018) Structure preserving time integration schemes in computational mechanics. ASME 2018 IDETC/CIE
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Conference lectureOwren, Brynjulf; Curry, Charles Henry Alexander. (2018) Adaptive time-stepping in commutator-free Lie group integrators. NUMDIFF-15
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Feature articleHaugen, Kjetil K.; Heen, Knut Peder; Hauge, Olav; Gammelsæter, Hallgeir; Guvåg, Bjørn; Kringstad, Morten; Solberg, Harry Arne; Owren, Brynjulf; Strandhagen, Jan Ola. (2018) Fra toppen av Haugen : dobbelt norgesmester.
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Conference lectureTapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Auckland Numerical Ordinary Differential Equations Conference
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Conference lecture
2017
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Conference posterTapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Zhao, Lihao. (2017) Splitting method integration of non-spherical particles in shear flow. FoCM 2017
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Conference lectureEidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. SciCADE 2017
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Feature articleHaugen, Kjetil K.; Hauge, Olav; Guvåg, Bjørn; Gammelsæter, Hallgeir; Heen, Knut Peder; Owren, Brynjulf; Strandhagen, Jan Ola; Kringstad, Morten; Solberg, Harry Arne. (2017) Fra toppen av Haugen : norgesmester fra Molde.
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Conference lectureEidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. Manifolds and Geometric Integration Colloqium
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Conference lectureEidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. CHiPS (Challenges in the Preservation of Structure) Workshop 2017
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Conference lectureOwren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Integral preserving methods on moving grids. Connections in Geometric Numerical Integration and Structure-Preserving Discretization
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Conference lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Kjer, Vanje Rebni. (2017) Model reduction in Lie group integration. SciCADE 2017
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Conference lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Kjer, Vanje Rebni. (2017) Structure preserving model reduction on manifolds. From computation to information: recent advances in numerical analysis
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Conference lectureOwren, Brynjulf; Curry, Charles Henry Alexander. (2017) Coordinate maps on Lie groups and their relation to root systems. MaGIC 2017
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Conference lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Kjer, Vanje Rebni. (2017) Structure preserving model reduction on Lie groups. ChiPS kickoff meeting
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Conference lectureOwren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. FoCM 2017
2016
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Conference lecture
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Conference lecture
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Conference lectureOwren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2016) Energy preserving methods for PDEs on moving meshes. SDIDE 2016
2015
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Conference lectureOwren, Brynjulf; Celledoni, Elena. (2015) Structure-preserving discretization of differential equations. AARMS-PIMS Summer School in Differential Equations and Numerical Analysis
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Conference lectureOwren, Brynjulf. (2015) Structure preserving model reduction on Lie groups. International Conference on Scientific Computation And Differential Equations 2015
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Conference lectureOwren, Brynjulf. (2015) Energy preserving integrators for PDEs on moving meshes. Bluenose Applied and Computational Math Days Workshop
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Conference lectureOwren, Brynjulf. (2015) Energy preserving methods for PDEs on moving meshes. NATW seminar, KU Leuven
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Conference lecture
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Conference lectureOwren, Brynjulf. (2015) An introduction to Lie group integrators. Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series
2014
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Conference lectureOwren, Brynjulf; Marthinsen, Håkon. (2014) A new look at geometric integrators for nonautonomous linear systems. AIMS 2014
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Conference lectureOwren, Brynjulf; Marthinsen, Håkon. (2014) On canonical integrators for nonautonomous systems. KCNADE 2014
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Conference lectureOwren, Brynjulf. (2014) Integral preserving numerical integrators for PDEs on moving meshes. FoCM'2014
2013
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Conference lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, Robert I.; Quispel, G.R.W.. (2013) Kahan's integrator for quadratic problems and its geometric properties. Magic 2013
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Conference lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics
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Conference lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. MAGiC
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Conference lectureOwren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013
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Conference lecture
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Conference lecture
2012
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Conference lectureOwren, Brynjulf; Celledoni, Elena. (2012) Lie group integrators and the preservation of first integrals. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications
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Conference lectureCelledoni, Elena; Owren, Brynjulf. (2012) The Kahan's method and its geometric properties. Structured Matrix Computations in non-Euclidean Geometries: Algorithms and Applications
2011
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Conference lectureOwren, Brynjulf. (2011) On the preservation of first integrals in numerical integrators. 9th International Conference of Numerical Analysis and Applied Mathematics
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Conference lectureOwren, Brynjulf. (2011) On energy preserving Runge-Kutta methods for polynomial Hamiltonian systems. Foundations of Computational Mathematics
2010
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Conference lectureOwren, Brynjulf; Dahlby, Morten Lien. (2010) Integral preserving numerical integrators for PDEs. New geometric and numeric tools for the analysis of differential equations
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Conference lectureOwren, Brynjulf. (2010) Linearly implicit conservative numerical integrators for PDEs. TRAGIC 2010, Tasmanian Rigorous Analysis and Geometric Integration Conference
2009
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Conference lectureOwren, Brynjulf. (2009) On the construction and behavior of semi-explicit, conservative finite difference schemes for Hamiltonian PDEs. International Conference on Spectral and High Order Methods
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Conference lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, I. Robert; Quispel, Reinout. (2009) Structure of B-series for some classes of geometric integrators. 7th International Conference of Numerical Analysis and Applied Mathematics
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Conference lectureOwren, Brynjulf. (2009) The Averaged Vector Field Method and its Applications to Hamiltonian PDEs. SciCADE 2009
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Conference lectureOwren, Brynjulf. (2009) Numerical computation of motion in Lie groups and subriemannian geometries. International Conference of sub-Riemannian Geometry and Vision
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Conference lectureOwren, Brynjulf; Dahlby, Morten Lien. (2009) On Conservative, Linearly Implicit Difference Schemes for Hamiltonian PDEs. Workshop on Structure-Preserving Methods for Partial Differential Equations
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Conference lectureOwren, Brynjulf; Dahlby, Morten Lien. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. MAGIC 2009
2008
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Conference lectureOwren, Brynjulf. (2008) Geometric integrators for the Camassa-Holm equation. Workshop ved Tsinghuauniversitetet, Beijing
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Conference lectureOwren, Brynjulf. (2008) Exponential integrators for second order systems. Instituttseminar ved Institutt for matematikk, Universitetet i Geneve
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Conference lectureOwren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. Instituttseminar ved Institutt for matematikk, Universitetet i Basel
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Conference lectureOwren, Brynjulf. (2008) Lie Group Integrators -- an introduction. Workshop, Chinese Academy of Science
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Conference lectureOwren, Brynjulf. (2008) Numerics, Renormalization, and Noncommutative Geometry -- it's an ART. Seminar ved Institutt for Matematikk, Massey University
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Conference lectureOwren, Brynjulf. (2008) Geometric Integration of Differential Equations on Manifolds. 13th International Congress on Computational and Applied Mathematics
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Conference lectureOwren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. Numerical Modelling of Complex Dynamical Systems
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Conference lectureOwren, Brynjulf. (2008) Energy conserving integrators. International Conference of Numerical Analysis and Applied Mathematics 2008
2007
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Conference lectureOwren, Brynjulf. (2007) Preserving first integrals in LS-series integrators. International Conference on SCIentific Computation And Differential Equations
2005
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Conference lectureOwren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. Foundations of Computational Mathematics
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Conference lectureOwren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. International Conference on Scientific Computation and Differential Equations
2003
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Conference lectureOwren, Brynjulf. (2003) Algebraic structures on ordered rooted trees and their significance to Lie group integrators. International Conference on SCIentific Computation And Differential Equations
2002
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Conference lectureOwren, Brynjulf. (2002) Lie group methods and their expansions. CSC02 -- Conference on Scientific Computation
2001
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Conference lecture
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Conference lectureOwren, Brynjulf. (2001) Numerical integration methods using Lie group actions. Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations (LAQ'2001)
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Conference lectureOwren, Brynjulf. (2001) Commutator free Lie group methods. International Workshop on Structure-Preserving Algorithms
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Conference lectureOwren, Brynjulf. (2001) Tree expansions of Lie group methods. International Conference on Scientific Computation and Differential Equations
2000
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Conference lectureOwren, Brynjulf. (2000) A Lie algebraic approach to analysing the error in splitting methods. LMS Durham Symposium, Geometric Integration.
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Conference lecture
1999
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Conference lecture
1997
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LectureMarthinsen, Arne; Owren, Brynjulf. (1997) Integration of dynamical systems on manifolds. 4th U.S. National Congress on Computational Mechanics
1992
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Conference lectureOwren, Brynjulf; Zennaro, Marino. (1992) Continuous explicit Runge-Kutta methods. Computational Ordinary Differential Equations